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112380426 = 23341193263
BaseRepresentation
bin1101011001011…
…00101000001010
321211110111222000
412230230220022
5212232133201
615052411430
72533134504
oct654545012
9254414860
10112380426
1158488094
1231776b76
131a3899c2
1410cd4d74
159cecd86
hex6b2ca0a

112380426 has 64 divisors (see below), whose sum is σ = 258128640. Its totient is φ = 36218880.

The previous prime is 112380407. The next prime is 112380439. The reversal of 112380426 is 624083211.

112380426 is a `hidden beast` number, since 1 + 1 + 238 + 0 + 426 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 112380426.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 427171 + ... + 427433.

It is an arithmetic number, because the mean of its divisors is an integer number (4033260).

Almost surely, 2112380426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112380426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129064320).

112380426 is an abundant number, since it is smaller than the sum of its proper divisors (145748214).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112380426 is a wasteful number, since it uses less digits than its factorization.

112380426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 112380426 is about 10600.9634467816. The cubic root of 112380426 is about 482.5735984449.

The spelling of 112380426 in words is "one hundred twelve million, three hundred eighty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 193 246 263 369 386 526 579 738 789 1107 1158 1578 1737 2214 2367 3474 4734 5211 7101 7913 10422 10783 14202 15826 21566 23739 32349 47478 50759 64698 71217 97047 101518 142434 152277 194094 213651 291141 304554 427302 456831 582282 913662 1370493 2081119 2740986 4162238 6243357 12486714 18730071 37460142 56190213 112380426